Triangle area — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses triangle area — a geometry concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 8

1992 AMC 8 Problem 10 · 1993 AMC 8 Problem 18 · 1996 AMC 8 Problem 17 · 1996 AMC 8 Problem 22 · 1999 AMC 8 Problem 23 · 2000 AMC 8 Problem 25 · 2003 AMC 8 Problem 6 · 2003 AMC 8 Problem 25 · 2007 AMC 8 Problem 8 · 2007 AMC 8 Problem 14 · 2007 AMC 8 Problem 23 · 2008 AMC 8 Problem 23 · 2009 AMC 8 Problem 7 · 2010 AMC 8 Problem 17 · 2011 AMC 8 Problem 16 · 2013 AMC 8 Problem 24 · 2015 AMC 8 Problem 6 · 2015 AMC 8 Problem 19 · 2015 AMC 8 Problem 21 · 2016 AMC 8 Problem 2 · 2016 AMC 8 Problem 22 · 2016 AMC 8 Problem 25 · 2018 AMC 8 Problem 4 · 2019 AMC 8 Problem 21 · 2019 AMC 8 Problem 24 · 2024 AMC 8 Problem 11

More geometry concepts

3D geometryaltitudeangle bisectorangle bisector theoremangle chasingangle sumannulusarcareaarea decompositionarea ratioBrahmagupta’s Formulacentroidchordcirclecircle areacircumcircle, circumcenter, and circumradiuscircumferenceconecongruence (geometry)coordinate geometrycube geometrycyclic quadrilateralcylinderdiagonaldistance formulaellipseequiangular polygonequilateral triangleEuler’s Polyhedron FormulaHeron’s Formulahomothetyhyperbolaincircle, incenter, and inradiusinscribed angleisosceles trianglekitelattice pointlaw of cosineslaw of sinesmass pointsmedian (geometry)midpointnet (3D geometry)paper foldingparabolaparallel linesparallelogramperimeterperpendicular bisectorPick’s Theorempolyhedronpower of a pointpower scaling of length, area, and volumePtolemy’s TheorempyramidPythagorean TheoremPythagorean Tripleradical axisrectanglerectangular prismreflection (geometry)regular polygonrhombusright trianglesectorshoelace formulasimilarityspecial right trianglespheresquare (geometry)Stewart’s Theoremsurface areatangent circlestangent linetransformationtrapezoidtriangle inequalitytrigonometric identitytrigonometryvectorViviani’s Theoremvolume